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3 years ago

13

The baker had some oil. He used 4 2/6 cups of oil to make cakes and 3 2/6 cups of oil to make cookies. Now he has 2 4/6 cups of

oil left. How many cups of oil did the baker start with?

2 answers:

IceJOKER [234]3 years ago

4 0

4 + 3 + 2 = 9
2/6 + 2/6 + 4/6 =1 2/6
9 + 1 2/6 = 10 2/6

bogdanovich [222]3 years ago

3 0

4 2/6 + 3 2/6 + 2 4/6 = 10 2/6 or 10 1/3

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35PTS<br> Which expression is equivalent to

algol13

( a^6 b^ -3) ^ (1/3)

split them apart

( a^6) ^ (1/3) (b^ -3) ^ (1/3)

power to a power is multiply

a^ (6*1/3) b^(-3*1/3)

a^2 b^-1

a^2/b

Choice D

7 0

3 years ago

I have some geometric sequence questions, will give 5 points for every answer and will give Brainliest!

kherson [118]

Answer:

Step-by-step explanation:

1) since the sixth term is 3 and the fifth term 24, the common ratio would be 3/24 = 1/8

The formula for finding the nth term of a geometric sequence is

Tn = ar^(n - 1)

If t6 = 3,r = 1/8, then

3 = a × 1/8^(6 - 1) = a × (1/8)^5

a = 3/(0.125)^5 = 98304

The first term is 98304.

Second term is 98304 × 1/8 = 12288

Third term is 12288 × 1/8 = 1536

Third term is 1536 × 1/8 = 192

2) t1 = 4

t2 = - 3t(2- 1) = - 3t1 = - 3 × 4 = - 12

t3 = - 3t(3- 1) = - 3t2 = - 3 × - 12 = 36

t4 = - 3t(4- 1) = - 3t3 = - 3 × 36 = - 108

3) let the numbers be t2,t3 and t4

The sequence becomes

1/2, t2,t3, t4,8

The formula for finding the nth term of a geometric sequence is

Tn = ar^(n - 1)

8 = 1/2 × r^(5 - 1)

8 = 1/2 × r^4

16 = r^4

2^4 = r^4

r = 2

t2 = 1/2 × 2 = 1

t3 = 1 × 2 = 2

t4 = 2 × 2 = 4

5 0

2 years ago

A school creates a histogram representing the individual travel times for students riding the bus to school. The histogram is ri

aliya0001 [1]

THIS IS THE COMPLETE QUESTION;

A school creates a histogram representing the individual travel times for students riding the bus to school. The histogram is right-skewed, and the mean time is 25 minutes.

Which statement best describes the possible value of the median time of students riding the bus to school?

The median time is less than 25 minutes.

The median time is exactly equal to 25 minutes.

The median time is approximately equal to 25 minutes.

The median time is greater than 25 minutes.

Answer;

The median time is less than 25 minutes

Step-by-step explanation

✓When the histogram is skewed right, it implies that the mean is greater than the median which means The median time is less than the mean.

This is as a result of few large values that drive as a result of skewed-right data

✓Skewness can be explained as measure of the asymmetry of a histogram When a histogram is symmetrical when it has a normal distribution, i.e when the same amount of data falls on both sides of the mean. Ahistogram has a normal distribution will have a skewness of 0.

✓the skewness can be explained in terms positive/right relationship:

√nonparametric skew implies that the mean is greater than the median, which means it is at the the right.

√A negative/left nonparametric skew can be explained as when the mean is < the median. I e it fall to the left .

Therefore, the median is less than 25 minutes

7 0

3 years ago

Read 2 more answers

Find the sum of the first 25 terms in this geometric series:<br> 8 + 6 + 4.5...

Ksivusya [100]

Step-by-step explanation:

Given the geometric sequence

8 + 6 + 4.5...

A geometric sequence has a constant ratio and is defined by

$a_n=a_1\cdot r^{n-1}$

$\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\quad \:r=\frac{a_{n+1}}{a_n}$

$\frac{6}{8}=\frac{3}{4},\:\quad \frac{4.5}{6}=\frac{3}{4}$

$\mathrm{The\:ratio\:of\:all\:the\:adjacent\:terms\:is\:the\:same\:and\:equal\:to}$

$r=\frac{3}{4}$

$\mathrm{The\:first\:element\:of\:the\:sequence\:is}$

$a_1=8$

$\mathrm{Therefore,\:the\:}n\mathrm{th\:term\:is\:computed\:by}\:$

$a_n=8\left(\frac{3}{4}\right)^{n-1}$

$\mathrm{Geometric\:sequence\:sum\:formula:}$

$a_1\frac{1-r^n}{1-r}$

$\mathrm{Plug\:in\:the\:values:}$

$n=25,\:\spacea_1=8,\:\spacer=\frac{3}{4}$

$=8\cdot \frac{1-\left(\frac{3}{4}\right)^{25}}{1-\frac{3}{4}}$

$\mathrm{Multiply\:fractions}:\quad \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}$

$=\frac{\left(1-\left(\frac{3}{4}\right)^{25}\right)\cdot \:8}{1-\frac{3}{4}}$

$=\frac{8\left(-\left(\frac{3}{4}\right)^{25}+1\right)}{\frac{1}{4}}$

$\mathrm{Apply\:exponent\:rule}:\quad \left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}$

$=\frac{8\left(-\frac{3^{25}}{4^{25}}+1\right)}{\frac{1}{4}}$

$\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{\frac{b}{c}}=\frac{a\cdot \:c}{b}$

$=\frac{\left(1-\frac{3^{25}}{4^{25}}\right)\cdot \:8\cdot \:4}{1}$

$\mathrm{Multiply\:the\:numbers:}\:8\cdot \:4=32$

$=\frac{32\left(-\frac{3^{25}}{4^{25}}+1\right)}{1}$

$=\frac{32\cdot \frac{4^{25}-3^{25}}{4^{25}}}{1}$ ∵ $\mathrm{Join}\:1-\frac{3^{25}}{4^{25}}:\quad \frac{4^{25}-3^{25}}{4^{25}}$

$=32\cdot \frac{4^{25}-3^{25}}{4^{25}}$

$=\frac{\left(4^{25}-3^{25}\right)\cdot \:32}{4^{25}}$

$=\frac{2^5\left(4^{25}-3^{25}\right)}{2^{50}}$ ∵ $\mathrm{Factor}\:32:\ 2^5$ , $\mathrm{Factor}\:4^{25}:\ 2^{50}$

so

$=\frac{4^{25}-3^{25}}{2^{45}}$ ∵ $\mathrm{Cancel\:}\frac{\left(4^{25}-3^{25}\right)\cdot \:2^5}{2^{50}}:\quad \frac{4^{25}-3^{25}}{2^{45}}$

$\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a\pm \:b}{c}=\frac{a}{c}\pm \frac{b}{c}$

$=\frac{4^{25}}{2^{45}}-\frac{3^{25}}{2^{45}}$

$=32-\frac{3^{25}}{2^{45}}$ ∵ $\frac{4^{25}}{2^{45}}=32$

$=32-0.024$ ∵ $\frac{3^{25}}{2^{45}}=0.024$

$=31.98$

Therefore, the sum of the first 25 terms in this geometric series: 31.98

3 0

3 years ago

What is the perimeter of the rectangular with a length of 2.5 m and breadth of 1.6m<br><br><br>

lana [24]

Answer:

Step-by-step explanation:

length of the rectangle = 2.5 m

breadth of the rectangle = 1.6 m

Perimeter of rectangle = 2( l + b )

= 2 × 4.1

= 8.2 m

Hope this helps

plz mark as brainliest!!!!!

6 0

3 years ago

Read 2 more answers